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198521240 = 235172910067
BaseRepresentation
bin10111101010100…
…11000110011000
3111211112220221112
423311103012120
5401310134430
631410555452
74630255061
oct1365230630
9454486845
10198521240
11a2072a45
1256598b88
133218a1b8
141c519568
1512666195
hexbd53198

198521240 has 64 divisors (see below), whose sum is σ = 489304800. Its totient is φ = 72153088.

The previous prime is 198521227. The next prime is 198521251. The reversal of 198521240 is 42125891.

198521240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1985212402 = 78821365462275200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198521197 and 198521206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14687 + ... + 24753.

Almost surely, 2198521240 is an apocalyptic number.

198521240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198521240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244652400).

198521240 is an abundant number, since it is smaller than the sum of its proper divisors (290783560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198521240 is a wasteful number, since it uses less digits than its factorization.

198521240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124 (or 10120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 198521240 is about 14089.7565628367. The cubic root of 198521240 is about 583.3586739105.

The spelling of 198521240 in words is "one hundred ninety-eight million, five hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 10067 19720 20134 40268 50335 80536 100670 171139 201340 291943 342278 402680 583886 684556 855695 1167772 1369112 1459715 1711390 2335544 2919430 3422780 4963031 5838860 6845560 9926062 11677720 19852124 24815155 39704248 49630310 99260620 198521240